The standard deviation of a particular sample is equal to the standard deviation divided by the square root of the sample size. That is,

The mean of a particular sample is equal to the mean of the set the sample was taken from. That is,

Answer:
x=4
Step-by-step explanation:
4(3+2x)+2=46
12+8x+2=46
12+8x=44
8x=32
x=4
Answer:
domain:

range:
![( - \infty ,4]](https://tex.z-dn.net/?f=%28%20-%20%20%5Cinfty%20%2C4%5D)
equation:

Step-by-step explanation:
domain is all X values and the X values will extent till infinity in both negative and positive direction, the range is all y values and the y value will go from negative infinity all the way to 4, where the graph stops.
The two angles form a straight line which is equal to 180 degrees. This makes the angles supplemtary.
To find x, add the two angles together to equal 180:
7x + x+20 = 180
Combine like terms:
8x + 20 = 180
Subtract 20 from both sides:
8x = 160
Divide both sides by 8:
X = 20
Answer:
7) 230mm
8) 98m
Step-by-step explanation:
7)
7x+8+6x+6+9x-4 =22x+10
if x is 10 mm, 22(10)+10 =230mm
8) perimeter of rec =2( l + w )
=2 ( 2x-5+2x+6 ) = 8x + 2
if x is 12 metres, 8(12)+2 =98m